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Appl. Sci. 2020, 10, 9060 9 of 25 engine according to its productive structure. It gives the values of flows in the productive structure shown in Figure 2 as a combination of the flows of the physical structure depicted in Figure 1 [30]. Table 4. FPR table and recirculation coefficients for the turbofan. Resources of Resources of Productive Components Dissipative Components RcS RhS RchS F ̇0 F ̇D F ̇F F ̇FN F ̇C F ̇CC F ̇HPT F ̇LPT F ̇N F ̇cS F ̇hS F ̇chS r c D F ̇ F N r c F F ̇ F N F ̇CC F ̇C rhDF ̇HPT rhDF ̇LPT rhDF ̇N rhF F ̇HPT rhF F ̇LPT rhF F ̇N r c D F ̇ c S r c F F ̇ c S rhD F ̇hS r h F F ̇ h S r C F ̇ h S r P H F ̇ h S CC rC F ̇HPT rC F ̇LPT rC F ̇N rPHF ̇HPT rPHF ̇LPT rPHF ̇N CC CC CC F ̇chS P ̇0 P ̇D P ̇F P ̇ F N P ̇C P ̇CC P ̇ H P T P ̇LPT P ̇N F ̇D P ̇ F N F ̇F P ̇N Fe = {E ̇0i}: Exergy of the external resources used by the ith component. F ̇T = ∑ E ̇0j j∈P Ps = {E ̇i0}: Exergy of the final product obtained from the ith component. P ̇T = ∑ E ̇i0 E ̇ij: Product of the ith component used as resource in the jth component. Rr = {E ̇ik}: Product of the ith component and dissipated in the rth dissipative component. F ̇k = ∑ Rik = ∑ E ̇ik. i∈P i∈P Recirculation coefficients i∈P r C D = P ̇ c D P ̇cD + P ̇cF P ̇ c F , r c D + r c F = 1 , r c F = P ̇hD +P ̇hF +P ̇C +P ̇PH P ̇cD + P ̇cF rhD = P ̇hD , rhF = P ̇hF , P ̇hD +P ̇hF +P ̇C +P ̇PH P ̇ P H P ̇ CC CC r= C ,rPH= CC ; C P ̇hD +P ̇hF +P ̇C +P ̇PH CC P ̇hD +P ̇hF +P ̇C +P ̇PH CC r +r +r+rPH=1;rCH=F ̇chS=1 CC hDhFCCC CCF ̇chS The first column of Table 4 represents the product exergy flow obtained from each productive component, and the first row represents the external resources entering the system [27]. Each column associated with the productive components represents how the resource of a given component comes from other components or from the environment [30]. The ith element of each column of dissipative components corresponds to the portion of the resource (i.e., residue) responsible for treating and eliminating it, which originates from and is allocated to the ith component. The rows represent the destinations of the products of each component as resources of other components, the primary product of the system, or residual exergy flows of the system corresponding to the resources of dissipative components [27]. Each row illustrates two chains in the production process: the formation of the final product and, in the opposite direction, the formation and allocation of residues generated during the production process. 5. Exergoeconomic Cost Analysis 5.1. Residue Formation Cost The formation costs of residues must be rationally allocated to the functional system products. This analysis is based on the premise that residues are formed within the productive components and released to the environment from the dissipative components, where they are treated with additionalPDF Image | Residue Cost Formation of a High Bypass Turbofan Engine
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